X-Git-Url: http://nsz.repo.hu/git/?p=musl;a=blobdiff_plain;f=src%2Fmath%2Fexp2l.c;h=145c20fe24598e0eb039205a86cea0a7245a8b64;hp=ce085a73d987a5fe212020ba575df7e660151d1b;hb=d8a7619e371ff0f226200f6316abb46dd1192f3d;hpb=b69f695acedd4ce2798ef9ea28d834ceccc789bd diff --git a/src/math/exp2l.c b/src/math/exp2l.c index ce085a73..145c20fe 100644 --- a/src/math/exp2l.c +++ b/src/math/exp2l.c @@ -30,7 +30,7 @@ #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 long double exp2l(long double x) { - return exp2l(x); + return exp2(x); } #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 @@ -40,10 +40,6 @@ long double exp2l(long double x) #define BIAS (LDBL_MAX_EXP - 1) #define EXPMASK (BIAS + LDBL_MAX_EXP) -static const long double huge = 0x1p10000L; -/* XXX Prevent gcc from erroneously constant folding this. */ -static volatile long double twom10000 = 0x1p-10000L; - static const double redux = 0x1.8p63 / TBLSIZE, P1 = 0x1.62e42fefa39efp-1, @@ -208,27 +204,28 @@ static const double tbl[TBLSIZE * 2] = { long double exp2l(long double x) { union IEEEl2bits u, v; - long double r, twopk, twopkp10000, z; + long double r, z; uint32_t hx, ix, i0; - int k; + union {uint32_t u; int32_t i;} k; /* Filter out exceptional cases. */ u.e = x; hx = u.xbits.expsign; ix = hx & EXPMASK; if (ix >= BIAS + 14) { /* |x| >= 16384 or x is NaN */ - if (ix == BIAS + LDBL_MAX_EXP) { - if (u.xbits.man != 1ULL << 63 || (hx & 0x8000) == 0) - return x + x; /* x is +Inf or NaN */ - return 0.0; /* x is -Inf */ + if (ix == EXPMASK) { + if (u.xbits.man == 1ULL << 63 && hx == 0xffff) /* -inf */ + return 0; + return x; + } + if (x >= 16384) { + x *= 0x1p16383L; + return x; } - if (x >= 16384) - return huge * huge; /* overflow */ if (x <= -16446) - return twom10000 * twom10000; /* underflow */ - } else if (ix <= BIAS - 66) { /* |x| < 0x1p-66 */ - return 1.0 + x; - } + return 0x1p-10000L*0x1p-10000L; + } else if (ix < BIAS - 64) /* |x| < 0x1p-64 */ + return 1 + x; /* * Reduce x, computing z, i0, and k. The low bits of x + redux @@ -240,38 +237,22 @@ long double exp2l(long double x) * Then the low-order word of x + redux is 0x000abc12, * We split this into k = 0xabc and i0 = 0x12 (adjusted to * index into the table), then we compute z = 0x0.003456p0. - * - * XXX If the exponent is negative, the computation of k depends on - * '>>' doing sign extension. */ u.e = x + redux; i0 = u.bits.manl + TBLSIZE / 2; - k = (int)i0 >> TBLBITS; - i0 = (i0 & (TBLSIZE - 1)) << 1; + k.u = i0 / TBLSIZE * TBLSIZE; + k.i /= TBLSIZE; + i0 %= TBLSIZE; u.e -= redux; z = x - u.e; - v.xbits.man = 1ULL << 63; - if (k >= LDBL_MIN_EXP) { - v.xbits.expsign = LDBL_MAX_EXP - 1 + k; - twopk = v.e; - } else { - v.xbits.expsign = LDBL_MAX_EXP - 1 + k + 10000; - twopkp10000 = v.e; - } /* Compute r = exp2l(y) = exp2lt[i0] * p(z). */ - long double t_hi = tbl[i0]; - long double t_lo = tbl[i0 + 1]; + long double t_hi = tbl[2*i0]; + long double t_lo = tbl[2*i0 + 1]; /* XXX This gives > 1 ulp errors outside of FE_TONEAREST mode */ r = t_lo + (t_hi + t_lo) * z * (P1 + z * (P2 + z * (P3 + z * (P4 + z * (P5 + z * P6))))) + t_hi; - /* Scale by 2**k. */ - if (k >= LDBL_MIN_EXP) { - if (k == LDBL_MAX_EXP) - return r * 2.0 * 0x1p16383L; - return r * twopk; - } - return r * twopkp10000 * twom10000; + return scalbnl(r, k.i); } #endif